Complexity of network synchronization
Journal of the ACM (JACM)
Continuous-time flows in networks
Mathematics of Operations Research
Minimum delay routing in stochastic networks
IEEE/ACM Transactions on Networking (TON)
Shortest-path and minimum-delay algorithms in networks with time-dependent edge-length
Journal of the ACM (JACM)
Finding Most Sustainable Paths in Networks with Time-Dependent Edge Reliabilities
LATIN '02 Proceedings of the 5th Latin American Symposium on Theoretical Informatics
A fully dynamic algorithm for distributed shortest paths
Theoretical Computer Science - Latin American theoretical informatics
Partially dynamic efficient algorithms for distributed shortest paths
Theoretical Computer Science
On distributed time-dependent shortest paths over duty-cycled wireless sensor networks
INFOCOM'10 Proceedings of the 29th conference on Information communications
A new fully dynamic algorithm for distributed shortest paths and its experimental evaluation
SEA'10 Proceedings of the 9th international conference on Experimental Algorithms
Engineering a new loop-free shortest paths routing algorithm
SEA'12 Proceedings of the 11th international conference on Experimental Algorithms
A loop-free shortest-path routing algorithm for dynamic networks
Theoretical Computer Science
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This paper addresses algorithms for networks whose behavior changes with time according to known functions. Because the computation depends on the same functions it attempts to compute, its execution must obey strict timing constraints. When distributed versions of such algorithms are considered, a key difficulty is how to transfer local timing functions among the participating nodes. To that end it is necessary to characterize the parameterization of the functions and accommodate this parameterization in the computation. In particular, we consider the shortest-path problem in networks in which the delay of the edges changes with time according to continuous functions. We present distributed protocols for finding the shortest and minimum delay path under various waiting constraints. We investigate and analyze protocols that exchange local time-delay functions only within limited intervals yet allow every node to calculate its representation in the shortest path in time for it to be used.